Answer: The angle through which the pendulum travels =
.
Step-by-step explanation:
Formula: Length of arc:
, where r= radius ( in radians) ,
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get
![27.5=45\theta\\\\\Rightarrow\theta=\dfrac{27.5}{45}=\dfrac{275}{450}\\\\\Rightarrow\ \theta=\dfrac{11}{18}\text{ radians}](https://tex.z-dn.net/?f=27.5%3D45%5Ctheta%5C%5C%5C%5C%5CRightarrow%5Ctheta%3D%5Cdfrac%7B27.5%7D%7B45%7D%3D%5Cdfrac%7B275%7D%7B450%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctext%7B%20radians%7D)
In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)
![\theta=35^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D35%5E%7B%5Ccirc%7D)
Hence, the angle through which the pendulum travels =
.
Not exactly just because they're the same size doesn't mean they weigh the same for example : a bowling ball and a soccer ball they are the same size don't exactly weigh the same
Answer:
<h2>The marginal product of labor function or MPL=
![9L^{2}-0.2L^{3}](https://tex.z-dn.net/?f=9L%5E%7B2%7D-0.2L%5E%7B3%7D)
.</h2>
Step-by-step explanation:
- The Average Production Function or APL is given as
where "L" represents the overall amount labor in the production process. - Therefore, the Total Production Function or TPL,in this case, would be
=
- Hence,the Marginal Product of Labor, which is abbreviated as MPL will be=
=
- Therefore,the marginal product of labor function or MPL=
![9L^{2}-0.2L^{3}](https://tex.z-dn.net/?f=9L%5E%7B2%7D-0.2L%5E%7B3%7D)
Answer:
2m+4 is the answer
Step-by-step explanation: